E-Book Overview
This book covers one of the most efficient approximation methods for the theoretical analysis and solution of problems in theoretical physics and applied mathematics. The method can be applied to any field involving second order ordinary differential equations. It is written with practical needs in mind, with 50 solved problems covering a broad range of subjects and making clear which concepts and results of the general theory are needed in each case.
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PHYSICAL PROBLEMS SOLVED BY THE PHASE-INTEGRAL METHOD This book provides a thorough introduction to one of the most efficient approximation methods for the analysis and solution of problems in theoretical physics and applied mathematics. It is written with practical needs in mind and contains a discussion of 50 problems with solutions, of varying degrees of difficulty. The problems are taken from quantum mechanics, but the method has important applications in any field of science involving second-order ordinary differential equations. The power of the asymptotic solution of second-order differential equations is demonstrated, and in each case the authors clearly indicate which concepts and results of the general theory are needed to solve a particular problem. This book will be ideal as a manual for users of the phase-integral method, as well as a valuable reference text for experienced research workers. It can also be used as a textbook for graduate students. Nanny Fr¨oman obtained her PhD in theoretical physics from Uppsala University. She was head of the Institute of Theoretical Physics in Uppsala for ten years and became Professor of Theoretical Physics in 1981. In 1990 she was elected a member of the Austrian Academy of Sciences, and in 1995 she was the the first woman to be elected president of the Royal Society of Sciences of Uppsala, the oldest academy in Swede